2x+4-3x+2+3x-5=2x+4-5x+6+2x

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Solution for 2x+4-3x+2+3x-5=2x+4-5x+6+2x equation:


Simplifying
2x + 4 + -3x + 2 + 3x + -5 = 2x + 4 + -5x + 6 + 2x

Reorder the terms:
4 + 2 + -5 + 2x + -3x + 3x = 2x + 4 + -5x + 6 + 2x

Combine like terms: 4 + 2 = 6
6 + -5 + 2x + -3x + 3x = 2x + 4 + -5x + 6 + 2x

Combine like terms: 6 + -5 = 1
1 + 2x + -3x + 3x = 2x + 4 + -5x + 6 + 2x

Combine like terms: 2x + -3x = -1x
1 + -1x + 3x = 2x + 4 + -5x + 6 + 2x

Combine like terms: -1x + 3x = 2x
1 + 2x = 2x + 4 + -5x + 6 + 2x

Reorder the terms:
1 + 2x = 4 + 6 + 2x + -5x + 2x

Combine like terms: 4 + 6 = 10
1 + 2x = 10 + 2x + -5x + 2x

Combine like terms: 2x + -5x = -3x
1 + 2x = 10 + -3x + 2x

Combine like terms: -3x + 2x = -1x
1 + 2x = 10 + -1x

Solving
1 + 2x = 10 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
1 + 2x + x = 10 + -1x + x

Combine like terms: 2x + x = 3x
1 + 3x = 10 + -1x + x

Combine like terms: -1x + x = 0
1 + 3x = 10 + 0
1 + 3x = 10

Add '-1' to each side of the equation.
1 + -1 + 3x = 10 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 10 + -1
3x = 10 + -1

Combine like terms: 10 + -1 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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